Quasilinear hyperbolic equations with hysteresis
Petra Kordulová · Journal of Physics Conference Series · 2006
This paper is devoted to the summary of results about a quasilinear hyperbolic partial Differential equation of first order with a hysteresis operator v = [ u ]: ∂( u + v )/∂ t + ∂ u /∂ x = 0. Hysteresis is represented by functional describing adsorption and desorption on the particles of the substance and is a possibly discontinuous generalized play operator. The results can be extended to possibly discontinuous generalized Prandtl-Ishlinskii operators of play type.